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barxatty [35]
3 years ago
14

Solve for b. Round your answer to the nearest whole degree.

Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer:

44°

Step-by-step explanation:

From sin rule:

a / sin A = b / sin B = c / Sin C

3.6 / sin b = 5.1 / sin 100

Cross multiply :

5.1 * sinb = 3.6 * sin 100

Sin b = 3.5453079 / 5.1

Sin b = 0.6951584

b = sin^-1(0.6951584)

b = 44.039

b = 44°

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Solve this inequality for x: -46 -8x >22.
olga2289 [7]

Answer:

Step-by-step explanation:

The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.

-46 - 8x > 22

-8x > 22 + 46

-8x > 68

x < 68/-8        (we divided by -8 so the inequality changed direction)

x < -17/2

3 0
3 years ago
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How do yo turn a fraction into a percent?
Kipish [7]
<span>You divide the top of the fraction by the bottom and t<span>hen multiply it by 100. 

Example : 1/4
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3 years ago
BIG POINTS UP FOR GRABS!!!
kvv77 [185]

Answer:

40/3; 13.3333333333333

Step-by-step explanation:

The volume of the cone is:

(1/3)(pi)(r^2)(h) =

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1000pi/3

The volume of the cylinder is:

(pi)(r^2)(h) =

(pi)(5^2)(h) =

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6 0
3 years ago
4. will give brainliest
saul85 [17]

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>

By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:

(x - h)² / a² + (y - k)² / b² = 1, where a > b     (1)

Where:

  • a - Length of the major semiaxis.
  • b - Length of the minor semiaxis.

Now, we proceed to find the vertex and the lengths of the semiaxes:

a = 10 units.

b = 8 units.

Vertex

V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)

V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)

V(x, y) = (1.5, 1) + (- 4.5, 1)

V(x, y) = (- 3, 2)

The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)

To learn more on ellipses: brainly.com/question/14281133

#SPJ1

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2 years ago
Of the 125 guests invited to a wedding, 100 attended the wedding. What percent of the invited guests attended the wedding?
RSB [31]
100/125 * 100 = 80 % (80 percent)
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